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Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacianopen access
- Authors
- Choi, Woocheol; Kim, Seunghyeok; Lee, Ki-Ahm
- Issue Date
- Jun-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Asymptotic behavior of least energy solutions; Critical nonlinearity; Fractional Laplacian; Lyapunov-Schmidt reduction
- Citation
- JOURNAL OF FUNCTIONAL ANALYSIS, v.266, pp.6531 - 6598
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FUNCTIONAL ANALYSIS
- Volume
- 266
- Start Page
- 6531
- End Page
- 6598
- ISSN
- 0022-1236
- Abstract
- In this paper we study the asymptotic behavior of least energy solutions and the existence of multiple bubbling solutions of nonlinear elliptic equations involving the fractional Laplacians and the critical exponents. This work can be seen as a nonlocal analog of the results of Han (1991) [24] and Rey (1990) [35].
- Appears in
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)